85755417 has 32 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 48942720.

The previous prime is 85755413. The next prime is 85755419. The reversal of 85755417 is 71455758.

It is not a de Polignac number, because 85755417 - 2² = 85755413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85755413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145798 + ... + 146384.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^85755417 is an apocalyptic number.

It is an amenable number.

85755417 is a deficient number, since it is larger than the sum of its proper divisors (46332903).

85755417 is a wasteful number, since it uses less digits than its factorization.

85755417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853.

The product of its digits is 196000, while the sum is 42.

The square root of 85755417 is about 9260.4220746141. The cubic root of 85755417 is about 440.9816529715.

The spelling of 85755417 in words is "eighty-five million, seven hundred fifty-five thousand, four hundred seventeen".